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Finding the Third Proportional to 2,184,324 and 3,307,014

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Solution

The third proportional to 2,184,324 and 3,307,014 is: 5,006,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,324 : 3,307,014 = 3,307,014 : x
  2. Step 2: Convert to fraction form
    2,184,324/3,307,014 = 3,307,014/x
  3. Step 3: Cross multiply
    2,184,324x = 3,307,014 × 3,307,014
  4. Step 4: Simplify right side
    2,184,324x = 10,936,341,596,196
  5. Step 5: Solve for x
    x = 10,936,341,596,196/2,184,324
  6. Step 6: Final answer
    x = 5,006,739.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.